Ddb29 ccceba547209ddab45a17330016

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Page 1 of 3 Term End Examination - November 2012 Course : MEE437 - Operations Research Slot: B1+TB1 Class NBR : 2711 / 2712 / 3560 / 3565 / 5567 Time : Three Hours Max.Marks:100 (Use of Standard Normal and Random Number Tables are permitted) Answer any FIVE Questions (5 X 20 = 100 Marks) 1. a) An animal feed company must produce 200 kg of a mixture consisting of ingredients type I and type II. The ingredient type I costs Rs.30 per kg and type II costs Rs.50 per kg. Type I can be used 40kg and above but not more than 80 kg and at least 60 kg of type II must be used. Formulate a mathematical model of the problem for optimization. [5] b) Solve the following LP problem Minimize Z = x 1 – 3x 2 + 2x 3 Subject to 3x 1 – x 2 + 2x 3 < 7 – 2x 1 + 4x 2 12 – 4x 1 + 3x 2 + 8x 3 10 x 1 , x 2 , x 3 > 0 [15] 2. a) A company has four jobs to be processed by four mechanics. The following table gives the return in rupees when the job is assigned to the mechanic. How should the jobs be assigned to the mechanics so as to maximize the overall return? Mechanic 15 12 10 13 Job 7 9 6 7 12 16 5 9 8 9 8 11 [5]

Transcript of Ddb29 ccceba547209ddab45a17330016

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